14%20-%20Indefinite%20Integration

# 14%20-%20Indefinite%20Integration - PROBLEMS 14 -...

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: PROBLEMS 14 - INDEFINITE INTEGRATION Page 1 ( Answers at the end of all problems ) Integrate the following functions with respect to x: ( 1 ) 1 1 x x x 2 2 4 + + + ( 2 ) 1 x 2 x 2 6 + + ( 3 ) 1 x x 2 4 + ( 4 ) 2 1 2 2 2 1 x log- − ( 5 ) x sin- 1 x sin ( 6 ) 1 e 1 e x x 2 2- + ( 7 ) x sin x cos 1 2 2 ( 8 ) x sin b x cos a 1 2 2 2 2 + ( 9 ) x tan 1 1 + ( 10 ) 3 x 1 x 1- ( 11 ) 1 x 1 x 4 2- + ( 12 ) x cos 4 x sin 3 x cos x sin 2 2- ( 13 ) ) x 2 ( 2x cos 1 π π < < + / ( 14 ) 4 x 1 x tan x 2 1- + ( 15 ) ) x ( x sin 1 x sin π < < + ( 16 ) ) 4 x 4 ( 2x sin 1-- / / π π < < ( 17 ) x 2 sin x sin ( 18 ) cot 6 x ( 19 ) x sin x cos 2 3 ( 20 ) ) b x ( sin ) a x ( sin 1-- ( 21 ) x cos x sin 4 2 ( 22 ) 3 x 1 x- ( 23 ) x sin 3 + x cos 4 + 5 1 ( 24 ) 3 1 2 1 x x 1- ( 25 ) x 1 1 x- + ( 26 ) )- x ( x cos 1 x cos π < < ( 27 ) x x 5- ( 28 ) 2 1 2 3 ) 2 x ( ) 1 x ( 1-- ( 29 ) sin 2 x cos 2x ( 30 ) 1 x 2x 1 x 3 2 + + + PROBLEMS 14 - INDEFINITE INTEGRATION Page 2 ( Answers at the end of all problems ) ( 31 ) 4 a x x 1- 4 ( 32 ) ) x 4 ( ) 1 x ( 1-- ( 33 ) 2 2 x x 25- ( 34 ) ) 2a x ( x 2ax x 1 2- < < ( 35 ) cos x sin 2 2x ( 36 ) 2 x 2x 8 1 x 3-- + ( 37 ) x 2 e 3x ( 38 ) ) 2 x ( ) 1 3x (- + ( 39 ) 5 x e 2x - 1 ( 40 ) 1 x x 4 2 + ( 41 ) x sinx cos 3x ( 42 ) 2 x 2ax x- ( 43 ) 2 1 x 1 x sin- + ( 44 ) 1 x x 1- + ( 45 ) ) x ( x 1 x 1 cos 2 2 1-- < + ( 46 ) 2 9 2 3 ) x 1 ( x + ( 47 ) ) a 0, x ( ) a x ( x 2 3 2 2 2- > > ( 48 ) x 2 2 e ) 1 x ( 1 x + + ( 49 ) x sin 5x sin ( 50 ) x tan x 1 2- ( 51 ) x sin 2 x ( 52 ) x sec 2 x tan x ( 53 ) 2x sin e 2 x- ( 54 ) 1 x 1- 4 ( 55 ) 2 x cos 2 x ( 56 ) sec 4 x ( 57 ) ) 4 x ( ) 1 x ( x 3 3 2- + ( 58 ) e 2x sin 3x sin x ( 59 ) sec 3 x ( 60 ) ) 2 x ( ) 2 3x ( x- 2 + PROBLEMS 14 - INDEFINITE INTEGRATION Page 3 ( Answers at the end of all problems ) ( 61 ) ) 5 x ( ) 2 x ( x 2 2 3 + + ( 62 ) 1 5e 6e 1 x 2x + + ( 63 ) ) 4 x ( ) 1 x ( 1 2- + ( 64 ) x sin x cos x sin x cos 1 1 1 1----- + ( 65 ) x cos x sin ( 66 ) x 2 cos ( log x ) ( 67 ) ) b x ( ) a x ( x 2 2 2 2 + + ( 68 ) x x 1 4x x-- 3 2 + ( 69 ) 2) x ( 1) x ( x 2 2 2 + + ( 70 ) ) 2 x ( e x cos 1 x sin 1-- 2 x / < < + π ( 71 ) ) 1 x ( x 1 3 + ( 72 ) x 4 sin x sin ( 73 ) ) x sin 2 1 ( x cos 1 + ( 74 ) 2x sin x sin 1 + ( 75 ) x tan ( 76 ) x a x- ( 77 ) 1 x x 1 x x 2 2 4 + + + + ( 78 ) x 1 ) x 1 (- + ( 79 ) sin x cos x ( sin 2x + cos 2x ) ( 80 ) 2x sin x cos x sin + ( 81 ) 2 2 2 2 x a x a x- + ( 82 ) x tan 4 3 x tan 2 + ( 83 ) 2 3 2x x ) e e ( 1- + ( 84 ) 3 4x ) 1 x 2 ( 1 + + ( 85 ) 2 2 x 1 x 1- + ( 86 ) 2 x 1 ) x 1 ( 1- + ( 87 ) x sin 3 2x cos 1 2 + ( 88 ) ) 4 x ( ) 5 x ( 7 x 6-- + ( 89 ) sin 4 3x cos 2...
View Full Document

## This note was uploaded on 11/28/2011 for the course PHYSICS 300 taught by Professor Smith during the Spring '06 term at ITT Tech Flint.

### Page1 / 11

14%20-%20Indefinite%20Integration - PROBLEMS 14 -...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online